The 22-year-old left back has signed a four-year contract, which keeps him at the club until the summer of 2023.
"I am thrilled to have rejoined City, a side playing incredible football under Pep Guardiola," Angelino said.
"Watching them while playing in Holland has been a pleasure.
"City’s performances over the last two seasons have been incredible and I am very excited about returning and contributing to the Club’s bid for more success.
"I believe my own game can develop under Pep’s management and I am very confident that the Club will go from strength to strength over the next few years."
Txiki Begiristain, City's Director of Football, added: “Angelino is a hugely talented young player and is an accomplished defender with great potential.
This will be Angelino's second sting at the club, having developed at Manchester City as a teenager between 2014 and 2018.
“Over the past year, he has gained excellent experience playing in the Eredivisie and the Champions League with PSV Eindhoven.
“We’re sure that he will bring additional defensive quality to our squad.”
Keep an eye on Futaa's player profiles as we take a closer look at some lesser-known lights around Europe.